Resolution study on wavelets both in temporal and spectral domain

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dc.contributor.advisorCastagna, John P.
dc.contributor.committeeMemberLiner, Christopher L.
dc.contributor.committeeMemberKouri, Donald J.
dc.contributor.committeeMemberPortniaguine, Oleg
dc.creatorChen, Mingyong
dc.date.accessioned2013-02-06T18:42:35Z
dc.date.available2013-02-06T18:42:35Z
dc.date.createdMay 2012
dc.date.issued2012-05
dc.date.updated2013-02-06T18:42:39Z
dc.description.abstractAn improved version of Matching Pursuit Decomposition (MPD), called Fractional Matching Pursuit Decomposition (FMPD), which can solve the lateral instability problem caused by conventional Matching Pursuit Decomposition, is proposed. On synthetic data, including a wedge model and the Dickman field real dataset, FMPD results show better lateral continuity among all the applications than conventional MPD. \\ In pursuing better resolution in spectral decomposition, the conventional uncertainty principle is not adequate for application purpose. An alternative definition of uncertainty principle, which could clearly and quantitatively define combined temporal and spectral resolution concerned in spectral decomposition, is presented. According to this, complex uncertainty principle, the lowest limit is still valid if we consider zero mean condition into wavelet selection.
dc.description.departmentEarth and Atmospheric Sciences, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/10657/ETD-UH-2012-05-430
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectMatching pursuit
dc.subjectUncertainty principle
dc.subjectSpectral decomposition
dc.subjectWavelets analysis
dc.subject.lcshGeophysics
dc.titleResolution study on wavelets both in temporal and spectral domain
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentEarth and Atmospheric Sciences, Department of
thesis.degree.disciplineGeophysics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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